{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `PCA` from scratch!! 🚀 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "class PCA:\n",
    "    def __init__(self, n_components):\n",
    "        self.n_components = n_components\n",
    "        self.components = None\n",
    "        self.mean = None\n",
    "\n",
    "    def fit(self, X):\n",
    "        # center the data\n",
    "        self.mean = np.mean(X, axis=0)\n",
    "        X = X - self.mean\n",
    "\n",
    "        # compute the covariance matrix\n",
    "        cov = np.cov(X, rowvar=False)\n",
    "\n",
    "        # compute the eigenvalues and eigenvectors of the covariance matrix\n",
    "        eigenvalues, eigenvectors = np.linalg.eigh(cov)\n",
    "\n",
    "        # sort the eigenvalues and eigenvectors in decreasing order\n",
    "        idx = np.argsort(eigenvalues)[::-1]\n",
    "        eigenvalues = eigenvalues[idx]\n",
    "        eigenvectors = eigenvectors[:, idx]\n",
    "\n",
    "        # store the first n_components eigenvectors as the principal components\n",
    "        self.components = eigenvectors[:, : self.n_components]\n",
    "\n",
    "    def transform(self, X):\n",
    "        # center the data\n",
    "        X = X - self.mean\n",
    "\n",
    "        # project the data onto the principal components\n",
    "        X_transformed = np.dot(X, self.components)\n",
    "\n",
    "        return X_transformed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Let's pick an Example Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(178, 13)\n",
      "(178,)\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import load_wine, load_iris\n",
    "\n",
    "# Load DataSet\n",
    "wine_data = load_wine()\n",
    "X, y = wine_data['data'], wine_data['target']\n",
    "\n",
    "print(X.shape)\n",
    "print(y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plotting two random features of raw data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Considering 2 random features doesn’t reveal muchof how the data looks like"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot = plt.scatter(X[:,0], X[:,2], c=y)\n",
    "\n",
    "plt.legend(handles=plot.legend_elements()[0], \n",
    "           labels=list(wine_data['target_names']))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Applying PCA on raw data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(178, 2)\n"
     ]
    }
   ],
   "source": [
    "# create a PCA object with 2 components\n",
    "pca = PCA(n_components=2)\n",
    "\n",
    "# fit the data\n",
    "pca.fit(X)\n",
    "\n",
    "# transform the data using the PCA object\n",
    "X_transformed = pca.transform(X)\n",
    "\n",
    "print(X_transformed.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plotting PCA results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot = plt.scatter(X_transformed[:,0], X_transformed[:,1], c=y)\n",
    "\n",
    "plt.legend(handles=plot.legend_elements()[0], \n",
    "           labels=list(wine_data['target_names']))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We observe that calss 1 is segregated but there is still overlap b/w 1 & 2 <br>\n",
    "continue reading..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### We can do better, check this out 👇 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA is sensitive to the scale!<br> Let's see if normalizing each feature by StandardScaler helps!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.pipeline import Pipeline\n",
    "\n",
    "# Normalise the data\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(X)\n",
    "X_normalised = scaler.transform(X)\n",
    "\n",
    "# Apply PCA now\n",
    "pca.fit(X_normalised)\n",
    "\n",
    "# transform the data using the PCA object\n",
    "X_transformed = pca.transform(X_normalised)\n",
    "\n",
    "\n",
    "plot = plt.scatter(X_transformed[:,0], X_transformed[:,1], c=y)\n",
    "\n",
    "plt.legend(handles=plot.legend_elements()[0], \n",
    "           labels=list(wine_data['target_names']))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Congratulations 🎉 <br>\n",
    "We can see a clear distinction amongst the classes!! 🙂"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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